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lek_cha 23 Á¡ÃÒ¤Á 2009 13:50

͸ԺÒ Theorem ¹ÕéãËé·Õ¤ÃѺ
 
Let N be a contraction($\delta < 1$) ,if we assume that$||F_n-N||=\epsilon _n\rightarrow _{n\rightarrow \infty }0$,then the sequence ${S_n}$ given by

$S_{n+1}=F(x_0+S_n),\qquad S_0=0$

converges to the S, solution of $F(x_0+S)=S$

͸ԺÒÂãËé·Õ¤ÃѺ ¼Áá»ÃáÅéǧ§§èФÃѺ

¢Íº¤Ø³¤ÃѺ

nooonuii 30 Á¡ÃÒ¤Á 2009 10:03

ÍéÒ§ÍÔ§:

¢éͤÇÒÁà´ÔÁà¢Õ¹â´Â¤Ø³ lek_cha (¢éͤÇÒÁ·Õè 48328)
Let N be a contraction($\delta < 1$) ,if we assume that$||F_n-N||=\epsilon _n\rightarrow _{n\rightarrow \infty }0$,then the sequence ${S_n}$ given by

$S_{n+1}=F(x_0+S_n),\qquad S_0=0$

converges to the S, solution of $F(x_0+S)=S$

͸ԺÒÂãËé·Õ¤ÃѺ ¼Áá»ÃáÅéǧ§§èФÃѺ

¢Íº¤Ø³¤ÃѺ

$F_n$ ¡Ñº $F$ ÊÑÁ¾Ñ¹¸ì¡Ñ¹Âѧ䧤ÃѺ

$F_n\to F$ ãªèËÃ×ÍäÁè


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